Our proposal is relevant to various platforms of synthetic quantum matter.
In ultracold atomic gases, decoupled arrays of one-dimensional tubes can be realized with a two-dimensional optical lattice [1]}. Our proposal can then be realized by superposing another harmonic trapping potential with an appropriate angle. The quantized Hall response and many-body physics are directly relevant in ultracold atomic gases [2]}, [3]}, [4]}.
Various photonic platforms are also relevant to our proposal. For example, exciton-polariton microcavity can be made into an array of one-dimensional wires [5]}, [6]}, and an additional harmonic potential can be applied by varying the width of each wire. Since it is extremely challenging to break the physical time-reversal symmetry in exciton-polaritons to open a topological gap [7]}, our proposal provides a valuable alternative to explore Chern insulator physics in exciton-polariton microcavities.
Photonic cavity arrays and propagating waveguide geometry are also suited to realize our proposal, where harmonic potentials can be applied by varying the cavity or waveguide size along the \(x\)  direction [8]}, [9]}; for these systems it is more natural to consider a lattice structure in the \(x\)  direction, which results in a coupled wire setup in the \(x\) -\(p_y\)  plane [10]}.
Edge-related physics are more easily accessible in such photon-related platforms [8]}, [9]}, [13]}.
